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Finding the Fourth Proportional to 842.38, 1,162.49 and 493.07

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Solution

The fourth proportional to 842.38, 1,162.49 and 493.07 is: 680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.38 : 1,162.49 = 493.07 : x
  2. Step 2: Convert to fraction form
    842.38/1,162.49 = 493.07/x
  3. Step 3: Cross multiply
    842.38x = 1,162.49 × 493.07
  4. Step 4: Simplify right side
    842.38x = 573,186.48
  5. Step 5: Solve for x
    x = 573,186.48/842.38
  6. Step 6: Final answer
    x = 680.44

Related Problems

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Half scale
Find fourth proportional to 1,684.75, 2,324.97 and 986.14
Double scale
Find fourth proportional to 843.38, 1,163.87 and 494.07
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.